Highest Common Factor of 257, 486 using Euclid's algorithm

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 257, 486 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 257, 486 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.

Consider we have numbers 257, 486 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b

Highest common factor (HCF) of 257, 486 is 1.

HCF(257, 486) = 1

HCF of 257, 486 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 257, 486 is 1.

Highest Common Factor of 257,486 using Euclid's algorithm

Highest Common Factor of 257,486 is 1

Step 1: Since 486 > 257, we apply the division lemma to 486 and 257, to get

486 = 257 x 1 + 229

Step 2: Since the reminder 257 ≠ 0, we apply division lemma to 229 and 257, to get

257 = 229 x 1 + 28

Step 3: We consider the new divisor 229 and the new remainder 28, and apply the division lemma to get

229 = 28 x 8 + 5

We consider the new divisor 28 and the new remainder 5,and apply the division lemma to get

28 = 5 x 5 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 257 and 486 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(28,5) = HCF(229,28) = HCF(257,229) = HCF(486,257) .

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Frequently Asked Questions on HCF of 257, 486 using Euclid's Algorithm

1. What is the Euclid division algorithm?

Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.

2. what is the HCF of 257, 486?

Answer: HCF of 257, 486 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 257, 486 using Euclid's Algorithm?

Answer: For arbitrary numbers 257, 486 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.